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Finding the Fourth Proportional to 21,647.70, 32,468.58 and 8,509.28

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Solution

The fourth proportional to 21,647.70, 32,468.58 and 8,509.28 is: 12,762.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,647.70 : 32,468.58 = 8,509.28 : x
  2. Step 2: Convert to fraction form
    21,647.70/32,468.58 = 8,509.28/x
  3. Step 3: Cross multiply
    21,647.70x = 32,468.58 × 8,509.28
  4. Step 4: Simplify right side
    21,647.70x = 276,284,076.08
  5. Step 5: Solve for x
    x = 276,284,076.08/21,647.70
  6. Step 6: Final answer
    x = 12,762.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.